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If S = t24t+4, find t in terms of S...

If S = t24t+4, find t in terms of S

A.

S2 - 2

B.

S + 2

C.

S - 2

D.

S2 + 2

Correct answer is B

S = t24t+4

S2 = t2 - 4t + 4

t2 - 4t + 4 - S2 = 0

Using t=b±b24ac2a

Substituting, we have;

Using t=(4)±(4)24(1)(4S2)2(1)

t=4±164(4S2)2

t=4±1616+4S22

t=4±4S22

t=2(2±S)2

Hence t = 2 + S or t = 2 - S